The Rule of the Derivative of a Function $f$ Is Given Find the Location of All Local Extrema

Multiple Choice

The rule of the derivative of a function $f$ is given. Find the location of all local extrema.
- $f^{\prime}(x) =\left(x^{2}-1\right) (x-3)$

A) Local maximum at -1 ; local minima at -3 and 1
B) Local maximum at $3-\sqrt{8}$ ; local minimum at $3+\sqrt{8}$
C) Local maxima at -1 and 3 ; local minimum at 1
D) Local maximum at 1 ; local minima at -1 and 3